Answer:
Puppy Liz runs 34.61 ft.
Step-by-step explanation:
From the figure we can extract two triangles: one with angle 34° and adjacent 40ft, the other with angle 34°+23° and adjacent 40ft.
Let us call the distance from the pole to the fire hydrant
, and the distance from the pole to the bench
, then the distance
from the fire hydrant to the bench is

which is the distance the Puppy Liz runs.
Now, from trigonometry we have

and


Therefore, the distance
Puppy Liz runs is


Answer:
Therefore,

Step-by-step explanation:
Given:
A Equation of a Circle that is

Which can be written as

To Find:
Center C( -g , -f ) = ?
radius = r =?
Solution:
General Equation of a Circle is given as

On Comparing the Given equation with the General equation we get the following values,

Now, Center and Radius for above circle is given as

Therefore,
